Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x … (a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c … (a, b), … is greater than :

Option D. It is clear from graph that, slope of AC … slope of CB

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Limits Continuity and Differentiability

JEE Main 2020 · 9 Jan, Morning shift · Q4193

MathematicsMedium179×since 2002Q4193

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x

\in

(a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c

\in

(a, b),

{{f(c) - f(a)} \over {f(b) - f(c)}}

is greater than :